Answer:
Distance around the track = 194.3 metres.
Step-by-step explanation:
Given: The two straight sides are of the track are 50 metres each
Diameter of each bend = 30 metres
Thus;
radius of the bends = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{30}{2}[/tex]
= 15 metres
So that,
length of the semicircular bend = [tex]\frac{1}{2}[/tex] x 2[tex]\pi[/tex]r
= [tex]\pi[/tex]r = [tex]\frac{22}{7}[/tex] x 15
= 47.143
length of each semicircular bend is 47.14 metres.
Distance around the track = addition of the length of each straight sides + addition of the length of the bends
= 50 + 50 + 47.14 + 47.14
= 194.28
Therefore,
Distance around the track = 194.3 metres.
